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# Math Prob. Unit

### The Probability Unit Test study guide

What is a set? Any group of things or numbers that are selected according to a well defined rule.
What is an element? Part of a set; a number in a set.
What is the universal set? The set containing elements under consideration for a particular problem.
What is a subset? A set that forms part of another set.
What is the intersection of two sets? The set of elements that belong to two or more sets.
What is the union? The set formed when you combine two or more sets.
What is the complement? The set of all elements within a particular universal set that is not part of the given set.
What is theoretical probability? The number of all ways that an event can happen over the total number of events.
What is the experimental probability? The ratio of favorable outcomes that did happen over the number of trials.
What are the notations for Universal set, subset, intersection, and union? Universal: U; Union: ∪; Intersection: ∩; Subset: ⊂
What is random sampling? Sampling in which everyone has an equal chance of being selected.
What is Convenience sampling? Sampling that is convenient.
What is a permutation? the formula? Order matters: nPr=n!/(n-r)!
What is a combination? the formula? Order doesn't matter; nCr=n!/r!(n-r)!
What is an example of a factorial? 8!= 8*7*6*5*4*3*2*1 ; 4!= 4*3*2*1
What are mutually exclusive events? Denoting two events that cannot occur at the same time.
What are overlapping events? Events that occur at the same time.
What is the addition rule? P(A or B)=P(A)+ P(B)- P(A intersection B)
What is conditional probability? P(B/A)=P(A and B)/P(A)
What is an independent event? P(A and B)=P(A)+P(B)
What are dependent events? P(A and B)=P(A)+P(B after A)
Proving independent events.
Created by: nriggs626